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Finding the Fourth Proportional to 409,005.22, 613,655.46 and 142,804.95

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Solution

The fourth proportional to 409,005.22, 613,655.46 and 142,804.95 is: 214,258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,005.22 : 613,655.46 = 142,804.95 : x
  2. Step 2: Convert to fraction form
    409,005.22/613,655.46 = 142,804.95/x
  3. Step 3: Cross multiply
    409,005.22x = 613,655.46 × 142,804.95
  4. Step 4: Simplify right side
    409,005.22x = 87,633,036,104.77
  5. Step 5: Solve for x
    x = 87,633,036,104.77/409,005.22
  6. Step 6: Final answer
    x = 214,258.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.